Question

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form

Answer 1

Step-by-step explanation:

Let's assume x = apple juice, y = orange juice, and z = cranberry juice

$1 = x + y + z \\ 1 = \frac{3}{4} + \frac{1}{10} + z \\ z = 1 - \frac{3}{4} - \frac{1}{10} \\ z = \frac{3}{20}$

x : y : z = 3/4 : 1/10 : 3/20

If we were to make them all in the same denominator, x : y : z = 15/20 : 2/20 : 3/20.

$\frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \\ \\ \frac{1}{10} \times \frac{2}{2} = \frac{2}{20}$